3(-14H+8)=8(-7H-16)-2

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Solution for 3(-14H+8)=8(-7H-16)-2 equation: 


Simplifying
3(-14H + 8) = 8(-7H + -16) + -2

Reorder the terms:
3(8 + -14H) = 8(-7H + -16) + -2
(8 * 3 + -14H * 3) = 8(-7H + -16) + -2
(24 + -42H) = 8(-7H + -16) + -2

Reorder the terms:
24 + -42H = 8(-16 + -7H) + -2
24 + -42H = (-16 * 8 + -7H * 8) + -2
24 + -42H = (-128 + -56H) + -2

Reorder the terms:
24 + -42H = -128 + -2 + -56H

Combine like terms: -128 + -2 = -130
24 + -42H = -130 + -56H

Solving
24 + -42H = -130 + -56H

Solving for variable 'H'.

Move all terms containing H to the left, all other terms to the right.

Add '56H' to each side of the equation.
24 + -42H + 56H = -130 + -56H + 56H

Combine like terms: -42H + 56H = 14H
24 + 14H = -130 + -56H + 56H

Combine like terms: -56H + 56H = 0
24 + 14H = -130 + 0
24 + 14H = -130

Add '-24' to each side of the equation.
24 + -24 + 14H = -130 + -24

Combine like terms: 24 + -24 = 0
0 + 14H = -130 + -24
14H = -130 + -24

Combine like terms: -130 + -24 = -154
14H = -154

Divide each side by '14'.
H = -11

Simplifying
H = -11

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